You’re doing a specific high intensity form of childcare. There are lower intensity approaches. When full time child care was the norm, parents didn’t fuss over their kids. “Is she dying or soaking in shit/piss? Ok, then she’s fine for an hour”
But even with a minimal approach, I still wouldn't be able to work from home with any level of effectiveness, because at some point she would be soaked in shit and piss, or would need something, or would be about to injure herself. Kids need some minimal amount of supervision below a certain age.
None of this would really be a problem if the economic system actually worked. If people actually made enough to afford FT care of their children and home stay for the very early years then the economy would seriously employ many more people. But instead people have to essentially win the economic lottery.
I am very much in favor of large, generous subsidies to new parents. For many people, having a child effectively means their ejection from the workforce for a decade.